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Class 12 · Mathematics
→On (A={1,2,3}), how many symmetric relations must contain ((1,2))?
Class 12 · Mathematics
→If A has n elements, how many symmetric relations on A contain no diagonal pair (a,a)?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(a,b):a\mid b}). Which is the correct counterexample showing that (R) is not symmetric?
Class 12 · Mathematics
→On (A={1,2,3,4,5}), (R={(a,b):a\equiv b \pmod{2}}). Why is (R) symmetric?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(a,b):|a-b|=1}). Choose the correct statement about (R).
Class 12 · Mathematics
→On (A={1,2,3}), the matrix of relation (R) is (\begin{pmatrix}1&1&0\0&1&1\0&1&1\end{pmatrix}). Which minimum entry must be changed for symmetry?
Class 12 · Mathematics
→On (A={1,2,3}), the matrix of relation (R) is (\begin{pmatrix}1&0&1\0&1&1\1&1&0\end{pmatrix}). What is the correct conclusion about (R)?
Class 12 · Mathematics
→On a set with (4) elements, how many symmetric relations have exactly (3) diagonal pairs?
Class 12 · Mathematics
→If (R) is a symmetric relation on (A), what is the correct statement about (R^{-1})?
Class 12 · Mathematics
→If (R) and (S) are both symmetric relations on (A), which of the following relations is definitely symmetric?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(a,b):a-b\text{ is positive}}). Why is (R) not symmetric?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(a,b):a+b\text{ is even}}) is given. Choose the correct statement about (R).
Class 12 · Mathematics
→If (A={1,2,3}) and (R={(1,2),(2,1),(2,3)}), which minimum pair must be added to make (R) symmetric?
Class 12 · Mathematics
→A set (A) has (5) elements. If every symmetric relation (R) must contain all diagonal pairs, how many such relations are possible?
Class 12 · Mathematics
→How many different symmetric relations can be formed on the set (A={1,2,3,4})?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(a,b):a+b=2b}). Choose the correct option about (R).
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(a,b):a+b=2a}). Which statement is correct for (R)?
Class 12 · Mathematics
→If a relation (R) contains only diagonal pairs of the form ((a,a)), which statement about (R) is correct?
Class 12 · Mathematics
→A relation on (A={1,2,3}) has the matrix (\begin{bmatrix}1&1&0\0&1&1\0&1&1\end{bmatrix}). Choose the correct statement.
Class 12 · Mathematics
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